Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Ferroelectrics

Monte Carlo Study of Spin-1/2 Ising Thin-Films

A. Zaim, Y. El Amraoui, M. Kerouad, L. Bih

Published Nov 14, 2008• 13 citations
Publisher

Abstract

Using Monte Carlo simulation with the Metropolis algorithm, we have studied the critical behaviour of magnetic spin 1/2 Ising film on a cubic lattice structure. We drive the effective exponent of the each layer βeff(z,t) and of the film βeff f (t) as a function of reduced temperature t. A particular attention is paid for the evaluation of the variation of the critical exponents with the film thickness.

DOI
10.1080/00150190802381589

Related papers

Spin-1/2 Ising Films with a Non Perfect Surface

A. Zaim, Y. El Amraoui, M. Kerouad +1 more

The influence of a non-perfect surface on the critical properties of magnetic spin-1/2 Ising film on a cubic lattice structure is studied using Monte Carlo simulations based on Metropolis algorithm. The surface magnetization and the surface effective exponent have been studied for several concentration p. Far from the critical temperature, the surface effective exponent βeff s decreases with increasing the concentration p.

Ferroelectrics•Nov 14, 2008•0 citations

Magnetic properties of Ising thin films with cubic lattices

Yongyut Laosiritaworn, J. Poulter, Julie B. Staunton

We have used Monte Carlo simulations and mean-field analysis to observe the magnetic behavior of Ising thin films with cubic lattice structures as a function of temperature and thickness, especially in the critical region. Magnetization and magnetic susceptibility, including layer variation, are investigated. We find that the magnetic behavior changes from two-dimensional to three-dimensional character with increasing film thickness. Both the crossover of the critical temperature from a two-dimensional to a bulk value and the shift exponent are observed. Nevertheless, with support from a scaling function, the simulations show that the effective critical exponents for films with large enough layer extents only vary a little from their two-dimensional values. This, in particular, provides an indication of two-dimensional universality in the thin films.

arXiv:cond-mat/0307291•Physical Review B•Sep 22, 2004•53 citations

Etude des films minces par la méthode de Monte Carlo dans le cadre du modèle de spin d’Ising.

Amel Benmansour

Using Monte Carlo simulations, we have studied the critical behaviours and phase diagrams of the spin-1/2 and spin-1 Ashkin Teller model ferromagnetic thin films. In the first part: The effect of the interaction with the exchange coupling 𝐽4 is studied. The phase diagrams present different ratios of the surface exchange interaction at the special point, in which all the films thickness have the same critical temperature. First and second order transitions appears in the system. Moreover, at the special point descriptions, we found another partially ordered phase for certain values of the parameter’s interaction. Finally, the critical exponents of the surface magnetization 𝛽1𝑚 are estimated. In the second part, the effects of the crystal field 𝐷 𝐽 ⁄ 2𝑏 and four-spins coupling (𝐽4𝑠 𝐽 ⁄ 2𝑏, 𝐽4𝑏 𝐽 ⁄ 2𝑏) has been studied in details. The phase diagrams in the (𝑘𝐵𝑇𝑐 𝐽 ⁄ 2𝑏 ,𝐽2𝑠 𝐽 ⁄ 2𝑏) plane exhibits the special point, for different values of 𝐷 𝐽 ⁄ 2𝑏 and (𝐽4𝑠 𝐽 ⁄ 2𝑏, 𝐽4𝑏 𝐽 ⁄ 2𝑏). Then, we found rich phase diagrams with firstand second-order phase transitions that meet at tricritical points, that are depended on the film thickness N. Finally, this model presents a new partially ordered phase < 𝜎𝑆 >, between the paramagnetic phase and the Baxter phase, which are separated by a second-order phase transition, for positive values of 𝐷 𝐽 ⁄ 2𝑏 and for each film thickness N.

•May 22, 2021•0 citations

Non-equilibrium critical behavior of Heisenberg thin films

Maria Shlyakhtich, Pavel Vladimirovich Prudnikov

In this work we study the non-equilibrium properties of Heisenberg ferromagnetic films using Monte Carlo simulations by short-time dynamic method. By exploring the short-time scaling dynamics, we have found thickness dependency of critical exponents z, θ′ and β/v for ferromagnetic thin film. For calculating the critical exponents of ferromagnetic films we considered systems with linear size L = 128 and layers number N = 2; 4; 6; 10. Starting from initial configurations, the system was updated with Metropolis algorithm at the critical temperatures

EPJ Web of Conferences•Jan 1, 2018•0 citations

Monte Carlo Simulation of Strongly Disordered Ising Ferromagnets

Hans-O Heuer

We report about extensive Monte Carlo simulations of disordered Ising systems with concentrations of magnetic sites between p = 1.0 and p = 0.5. We have measured the magnetization, the susceptibility and the caloric properties in the critical region. In addition the magnetization-energy correlation function has been investigated and the critical exponent ζ = 1 - β = (α + γ)/2 has been determined. We find that power law behaviour and scaling is fulfilled in the whole concentration range. The effective critical exponents γ, β and ζ are shown to be concentration dependent. In the range of strong disorder γ and β increase until they reach a kind of asymptotic behaviour at β = 0.335 ± 0.01 and γ = 1.49 ± 0.02 for p = 0.5. In accord with the exponent relation ζ = 1 - β the critical exponent ζ decreases with dilution to ζ = 0.675 ± 0.01.

Europhysics Letters (EPL)•Jul 15, 1990•27 citations

The spin-1/2 Ising film with a perfect surface

A. Oubelkacem, A. Ainane, M. Saber +1 more

The critical properties of the magnetic spin-1/2 Ising film are studied using the effective field theory with a probability distribution technique that accounts for the self-spin correlation functions. We discuss an L -layer film of simple cubic symmetry with nearest-neighbour interactions in which the strength of the interaction at the surface is different from the bulk value. We derive the phase diagram, the longitudinal susceptibility and the effective critical exponents in the case of a perfect surface. In such films, the critical temperature can shift to either lower or higher temperature compared to the corresponding bulk value.

Physica Scripta•Mar 3, 2006•4 citations
Using Monte Carlo simulation with the Metropolis algorithm, we have studied the critical behaviour of magnetic spin 1/2 Ising film on a cubic lattice structure. We drive the effective exponent of the each layer βeff(z,t) and of the film βeff f (t) as a function of reduced temperature t. A particular attention is paid for the evaluation of the variation of the critical exponents with the film thickness.
We have used Monte Carlo simulations and mean-field analysis to observe the magnetic behavior of Ising thin films with cubic lattice structures as a function of temperature and thickness, especially in the critical region. Magnetization and magnetic susceptibility, including layer variation, are investigated. We find that the magnetic behavior changes from two-dimensional to three-dimensional character with increasing film thickness. Both the crossover of the critical temperature from a two-dimensional to a bulk value and the shift exponent are observed. Nevertheless, with support from a scaling function, the simulations show that the effective critical exponents for films with large enough layer extents only vary a little from their two-dimensional values. This, in particular, provides an indication of two-dimensional universality in the thin films.
Using Monte Carlo simulations, we have studied the critical behaviours and phase diagrams of the spin-1/2 and spin-1 Ashkin Teller model ferromagnetic thin films. In the first part: The effect of the interaction with the exchange coupling 𝐽4 is studied. The phase diagrams present different ratios of the surface exchange interaction at the special point, in which all the films thickness have the same critical temperature. First and second order transitions appears in the system. Moreover, at the special point descriptions, we found another partially ordered phase for certain values of the parameter’s interaction. Finally, the critical exponents of the surface magnetization 𝛽1𝑚 are estimated. In the second part, the effects of the crystal field 𝐷 𝐽 ⁄ 2𝑏 and four-spins coupling (𝐽4𝑠 𝐽 ⁄ 2𝑏, 𝐽4𝑏 𝐽 ⁄ 2𝑏) has been studied in details. The phase diagrams in the (𝑘𝐵𝑇𝑐 𝐽 ⁄ 2𝑏 ,𝐽2𝑠 𝐽 ⁄ 2𝑏) plane exhibits the special point, for different values of 𝐷 𝐽 ⁄ 2𝑏 and (𝐽4𝑠 𝐽 ⁄ 2𝑏, 𝐽4𝑏 𝐽 ⁄ 2𝑏). Then, we found rich phase diagrams with firstand second-order phase transitions that meet at tricritical points, that are depended on the film thickness N. Finally, this model presents a new partially ordered phase < 𝜎𝑆 >, between the paramagnetic phase and the Baxter phase, which are separated by a second-order phase transition, for positive values of 𝐷 𝐽 ⁄ 2𝑏 and for each film thickness N.
In this work we study the non-equilibrium properties of Heisenberg ferromagnetic films using Monte Carlo simulations by short-time dynamic method. By exploring the short-time scaling dynamics, we have found thickness dependency of critical exponents z, θ′ and β/v for ferromagnetic thin film. For calculating the critical exponents of ferromagnetic films we considered systems with linear size L = 128 and layers number N = 2; 4; 6; 10. Starting from initial configurations, the system was updated with Metropolis algorithm at the critical temperatures
We report about extensive Monte Carlo simulations of disordered Ising systems with concentrations of magnetic sites between p = 1.0 and p = 0.5. We have measured the magnetization, the susceptibility and the caloric properties in the critical region. In addition the magnetization-energy correlation function has been investigated and the critical exponent ζ = 1 - β = (α + γ)/2 has been determined. We find that power law behaviour and scaling is fulfilled in the whole concentration range. The effective critical exponents γ, β and ζ are shown to be concentration dependent. In the range of strong disorder γ and β increase until they reach a kind of asymptotic behaviour at β = 0.335 ± 0.01 and γ = 1.49 ± 0.02 for p = 0.5. In accord with the exponent relation ζ = 1 - β the critical exponent ζ decreases with dilution to ζ = 0.675 ± 0.01.
The critical properties of the magnetic spin-1/2 Ising film are studied using the effective field theory with a probability distribution technique that accounts for the self-spin correlation functions. We discuss an L -layer film of simple cubic symmetry with nearest-neighbour interactions in which the strength of the interaction at the surface is different from the bulk value. We derive the phase diagram, the longitudinal susceptibility and the effective critical exponents in the case of a perfect surface. In such films, the critical temperature can shift to either lower or higher temperature compared to the corresponding bulk value.